A continuous time Cournot duopoly with delays
A continuous time Cournot duopoly with delays
复制标题
具有时滞的连续时间古诺双头垄断
DOI：
10.1016/j.chaos.2015.01.020
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发表时间：
2015
影响因子：
7.8
通讯作者：
M. Sodini
中科院分区：
文献类型：
--
作者：
L. Gori;L. Guerrini;M. Sodini
本文对经典的重复双寡头垄断模型进行了扩展，引入了Bischi等人设定数量的公司。(1998)通过假设商品的生产受到一些酝酿滞后的影响，但市场上的交换是连续发生的。该模型以离散时滞的微分方程组的形式表示。通过使用一些最新的数学方法和数值实验，结果显示了在没有时滞的情况下不能观察到的一些动态现象。此外，根据时间延迟和惯性的程度，即使在同质公司的情况下，也可能出现同步故障。
This paper extends the classical repeated duopoly model with quantity-setting firms of Bischi et al. (1998) by assuming that production of goods is subject to some gestation lags but exchanges take place continuously in the market. The model is expressed in the form of differential equations with discrete delays. By using some recent mathematical techniques and numerical experiments, results show some dynamic phenomena that cannot be observed when delays are absent. In addition, depending on the extent of time delays and inertia, synchronisation failure can arise even in the event of homogeneous firms.